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Theory and Application of Acoustic Sources Using Complex Analysis

Author: Martin Ochmann

Publisher: Springer Nature

Published: 2021-02-01

Total Pages: 247

ISBN-13: 9813360402

This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green’s functions and related equivalent source and boundary element methods in half-spaces.

Theory and Application of Acoustic Sources Using Complex Analysis

Author: Martin Ochmann

Publisher:

Published: 2021

Total Pages: 0

ISBN-13: 9789813360419

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This book highlights the mathematical and physical properties of acoustical sources with singularities located in the complex plane and presents the application of such special elements to solve acoustical radiation and scattering problems. Sources whose origin lies in the complex plane are also solutions of the wave equation but possess different radiating properties as their counterparts with real positions. Such mathematical constructions are known in the fields of optics and electrodynamics, but they are not common in acoustical research. The objective of the book is to introduce this concept to acousticians and motivate them to engage themselves in further research and application of complex sources. Such sources are particularly useful to formulate Green's functions and related equivalent source and boundary element methods in half-spaces.

Advances in Complex Analysis and Applications

Author: Francisco Bulnes

Publisher: BoD – Books on Demand

Published: 2020-11-04

Total Pages: 172

ISBN-13: 1839683600

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The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Acoustic Array Systems

Author: Mingsian R. Bai

Publisher: John Wiley & Sons

Published: 2013-03-07

Total Pages: 546

ISBN-13: 0470828374

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Presents a unified framework of far-field and near-field array techniques for noise source identification and sound field visualization, from theory to application. Acoustic Array Systems: Theory, Implementation, and Application provides an overview of microphone array technology with applications in noise source identification and sound field visualization. In the comprehensive treatment of microphone arrays, the topics covered include an introduction to the theory, far-field and near-field array signal processing algorithms, practical implementations, and common applications: vehicles, computing and communications equipment, compressors, fans, and household appliances, and hands-free speech. The author concludes with other emerging techniques and innovative algorithms. Encompasses theoretical background, implementation considerations and application know-how Shows how to tackle broader problems in signal processing, control, and transudcers Covers both farfield and nearfield techniques in a balanced way Introduces innovative algorithms including equivalent source imaging (NESI) and high-resolution nearfield arrays Selected code examples available for download for readers to practice on their own Presentation slides available for instructor use A valuable resource for Postgraduates and researchers in acoustics, noise control engineering, audio engineering, and signal processing.

Applied Mechanics Reviews

Author:

Publisher:

Published: 1973

Total Pages: 568

ISBN-13:

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Room Acoustical Fields

Author: Fridolin Mechel

Publisher: Springer Science & Business Media

Published: 2012-12-14

Total Pages: 601

ISBN-13: 3642223567

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This book presents the theory of room acoustical fields and revises the Mirror Source Methods for practical computational use, emphasizing the wave character of acoustical fields. The presented higher methods include the concepts of “Mirror Point Sources” and “Corner sources which allow for an excellent approximation of complex room geometries and even equipped rooms. In contrast to classical description, this book extends the theory of sound fields describing them by their complex sound pressure and the particle velocity. This approach enables accurate descriptions of interference and absorption phenomena.

Fundamentals of Acoustic Field Theory and Space-Time Signal Processing

Author: Lawrence Ziomek

Publisher: CRC Press

Published: 1994-12-28

Total Pages: 712

ISBN-13: 9780849394553

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Providing a wealth of information on fundamental topics in the areas of linear air and underwater acoustics, as well as space-time signal processing, this book provides real-world design and analysis equations. As a consequence of the interdisciplinary nature of air and underwater acoustics, the book is divided into two parts: Acoustic Field Theory and Space-Time Signal Processing. It covers the fundamentals of acoustic wave propagation as well as the fundamentals of aperture theory, array theory, and signal processing. Starting with principles and using a consistent, mainly standard notation, this book develops, in detail, basic results that are useful in a variety of air and underwater acoustic applications. Numerous figures, examples, and problems are included.

Experimental Techniques, Rotating Machinery, and Acoustics, Volume 8

Author: James De Clerck

Publisher: Springer

Published: 2015-04-09

Total Pages: 275

ISBN-13: 331915236X

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Experimental Techniques, Rotating Machinery & Acoustics, Volume 8: Proceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015, the eighth volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Experimental Techniques Processing Modal Data Rotating Machinery Acoustics Adaptive Structures Biodynamics Damping

Lloyd’s Register Technical Association 1982-1983

Author: Lloyd's Register Foundation

Publisher: Lloyd's Register

Published: 1982-01-01

Total Pages: 232

ISBN-13:

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The Lloyd’s Register Technical Association (LRTA) was established in 1920 with the primary objective of sharing technical expertise and knowledge within Lloyd’s Register. Publications have consistently been released on a yearly basis, with a brief interruption between 1938 and 1946. These publications serve as a key reference point for best practices and were initially reserved for internal use to maximise LR’s competitive advantage. Today, the LRTA takes a fresh approach, focusing on collaboration by combining professional expertise from across LRF & Group to ensure a frequent output of fresh perspectives and relevant content. The LRTA has evolved into a Group-wide initiative that identifies, captures, and shares knowledge spanning various business streams and functions. To support this modern approach, the LRTA has adopted a new structure featuring representatives and senior governance across the business streams and the LR Foundation. The Lloyd's Register Technical Association Papers should be seen as historical documents representing earlier viewpoints and are not reflective of current thinking and perspectives by the current LR Technical Association.

Musical Instruments

Author: Lamberto Tronchin

Publisher: MDPI

Published: 2021-02-19

Total Pages: 138

ISBN-13: 3039366130

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The study of the acoustic and vibrational characteristics of musical instruments in terms of their mechanical behavior, sound emission, and characteristics started thousands of years ago, and among the physicists and mathematicians that addressed this matter, we should at least recognize Leonardo da Vinci, with his experimental water organ, and Ernst Chladni, who discovered nodal patterns on rigid surfaces such as soundboards. The growing awareness of our intangible cultural heritage and the need to better understand our roots in the field of music have contributed to increasing the efforts to extend our knowledge in this field, defining new physical parameters, extending the analysis to other musical instruments, and developing new methods to synthesize sound from musical instruments using a simple keyboard.